Sovi AI

Sovi AI

写真で学ぶ問題サポート

calculate the area and perimeter(all around). perimeter: ____ ft area: …

Perimeter: 112 ft Area: 488 ft²

カテゴリ: geometry 更新日: 2026-02-04

問題

calculate the area and perimeter(all around).
perimeter: ____ ft
area: ____ ft²

解法ステップ

  1. Understand the question

    calculate the area and perimeter(all around).
    perimeter: ____ ft
    area: ____ ft²

  2. Explanation

    Step1: Find missing side lengths

    Left vertical side: $20 + 12 = 32$ ft; Bottom horizontal side: $14 + 10 = 24$ ft

    Step2: Calculate perimeter

    Sum all outer sides: $32 + 24 + 12 + 14 + 20 + 10$
    $= (32+24)+(12+14)+(20+10) = 56+26+30 = 112$ ft

    Step3: Split shape into two rectangles

    Rectangle 1: $20 \times 10$; Rectangle 2: $24 \times 12$

    Step4: Calculate total area

    Sum areas of rectangles: $20\times10 + 24\times12$
    $= 200 + 288 = 488$ ft²

  3. Final answer

    Perimeter: 112 ft
    Area: 488 ft²

答え

Explanation

Step1: Find missing side lengths

Left vertical side: $20 + 12 = 32$ ft; Bottom horizontal side: $14 + 10 = 24$ ft

Step2: Calculate perimeter

Sum all outer sides: $32 + 24 + 12 + 14 + 20 + 10$
$= (32+24)+(12+14)+(20+10) = 56+26+30 = 112$ ft

Step3: Split shape into two rectangles

Rectangle 1: $20 \times 10$; Rectangle 2: $24 \times 12$

Step4: Calculate total area

Sum areas of rectangles: $20\times10 + 24\times12$
$= 200 + 288 = 488$ ft²

Answer

Perimeter: 112 ft
Area: 488 ft²

Question Image

Click to enlarge

Question Analysis

Subject mathematics
Sub Subject geometry
Education Level high school
Difficulty unspecified
Question Type with image, calculation
Multi Question No
Question Count 1
Analysis Status completed
Analyzed At 2026-02-04T00:15:47

OCR Text

Show OCR extraction
calculate the area and perimeter(all around).
perimeter: ____ ft
area: ____ ft²

関連トピック

mathematicsgeometrywith image, calculationhigh schoolliked-answerturns-1

関連問題

Sovi AI iOS

公式サイトは mysovi.ai。問題ページは question-banks.mysovi.ai で配信。iOS アプリは Apple App Store で提供。

App Store で入手 カテゴリ: 幾何