<?xml version="1.0" encoding="utf-8"?>
<!--Generated by DFIN XBRL Instance Document - http://www.dfinsolutions.com/ - Version R3.0 - on 28-April-2023 [10:42:22] {PM}-->
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<annotation>
<appinfo>
<link:linkbaseRef xlink:type="simple" xlink:href="bkd-20221231_pre.xml" xlink:role="http://www.xbrl.org/2003/role/presentationLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
<link:linkbaseRef xlink:type="simple" xlink:href="bkd-20221231_def.xml" xlink:role="http://www.xbrl.org/2003/role/definitionLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
<link:linkbaseRef xlink:type="simple" xlink:href="bkd-20221231_lab.xml" xlink:role="http://www.xbrl.org/2003/role/labelLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
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<import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd" />
<import namespace="http://www.xbrl.org/2003/linkbase" schemaLocation="http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd" />
<import namespace="http://xbrl.sec.gov/dei/2022q4" schemaLocation="https://xbrl.sec.gov/dei/2022q4/dei-2022q4.xsd" />
<import namespace="http://xbrl.sec.gov/dei-sub/2022q4" schemaLocation="https://xbrl.sec.gov/dei/2022q4/dei-sub-2022q4.xsd" />
<import namespace="http://www.xbrl.org/dtr/type/2020-01-21" schemaLocation="https://www.xbrl.org/dtr/type/2020-01-21/types.xsd" />
<import namespace="http://fasb.org/srt/2022" schemaLocation="https://xbrl.fasb.org/srt/2022/elts/srt-2022.xsd" />
<import namespace="http://fasb.org/srt-types/2022" schemaLocation="https://xbrl.fasb.org/srt/2022/elts/srt-types-2022.xsd" />
<import namespace="http://xbrl.sec.gov/ecd-sub/2022q4" schemaLocation="https://xbrl.sec.gov/ecd/2022q4/ecd-sub-2022q4.xsd" />
<import namespace="http://xbrl.sec.gov/ecd/2022q4" schemaLocation="https://xbrl.sec.gov/ecd/2022q4/ecd-2022q4.xsd" />
<import namespace="http://www.xbrl.org/2006/ref" schemaLocation="http://www.xbrl.org/2006/ref-2006-02-27.xsd" />
<import namespace="http://xbrl.org/2005/xbrldt" schemaLocation="http://www.xbrl.org/2005/xbrldt-2005.xsd" />
<import namespace="http://fasb.org/srt-roles/2022" schemaLocation="https://xbrl.fasb.org/srt/2022/elts/srt-roles-2022.xsd" />
<element name="AmountOfstockAwardsFromSummaryCompensationMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bkd_AmountOfstockAwardsFromSummaryCompensationMember" substitutionGroup="xbrli:item" />
<element name="FairValueAtYearendOfUnvestedAwardsGrantedDuringTheYearMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bkd_FairValueAtYearendOfUnvestedAwardsGrantedDuringTheYearMember" substitutionGroup="xbrli:item" />
<element name="ChangeInFairValueAtYearendFromPriorYearendOfUnvestedAwardsGrantedInPriorYearsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bkd_ChangeInFairValueAtYearendFromPriorYearendOfUnvestedAwardsGrantedInPriorYearsMember" substitutionGroup="xbrli:item" />
<element name="ChangeInFairValueAsOfVestingDateFromPriorYearendOfAwardsGrantedInPriorYearsThatVestedDuringTheYearMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bkd_ChangeInFairValueAsOfVestingDateFromPriorYearendOfAwardsGrantedInPriorYearsThatVestedDuringTheYearMember" substitutionGroup="xbrli:item" />
<element name="ForPriorYearendFairValueOfAwardsGrantedInPriorYearsThatForfeitedDuringTheYearMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bkd_ForPriorYearendFairValueOfAwardsGrantedInPriorYearsThatForfeitedDuringTheYearMember" substitutionGroup="xbrli:item" />
<element name="TotalAdjustmentsMember" type="dtr-types:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="bkd_TotalAdjustmentsMember" substitutionGroup="xbrli:item" />
</schema>
